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Finding the Fourth Proportional to 8,498, 12,752.04 and 3,881.36

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Solution

The fourth proportional to 8,498, 12,752.04 and 3,881.36 is: 5,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498 : 12,752.04 = 3,881.36 : x
  2. Step 2: Convert to fraction form
    8,498/12,752.04 = 3,881.36/x
  3. Step 3: Cross multiply
    8,498x = 12,752.04 × 3,881.36
  4. Step 4: Simplify right side
    8,498x = 49,495,257.97
  5. Step 5: Solve for x
    x = 49,495,257.97/8,498
  6. Step 6: Final answer
    x = 5,824.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.